Question

Explain how to write a function rule from the table table below. Than write a function rule.

x 0 2 4 6
y 2 1 0 -1

Answer 1

To write a function rule from the table, we need to determine the relationship between the x-values and y-values. We can do this by looking for a pattern in the table.

From the table, we can see that as x increases by 2, y decreases by 1. This suggests that there is a linear relationship between x and y, where the slope is -1/2.

To write a function rule, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope and b is the y-intercept.

We can use any of the points in the table to solve for b. For example, using the point (0, 2):

2 = (-1/2)(0) + b

b = 2

Therefore, the function rule is:

y = -1/2 x + 2